Domain Size Distribution Function Research Articles

Statistical dynamics of interacting kinks II

An improved kinetic theory for the domain size distribution function of interacting kink systems in one-dimensional ordering kinetics is presented. The correlation of two adjacent domains, which has been ignored previously, is found to have appreciable effects on quantitative aspects of the results obtained such as the ratio of the cut-off to average domain sizes. The theory leads to a new physical picture of one-dimensional domain growth in which the major role is played by coalescences of domains by rapid annihilations of the smallest domains with increasing cut-off size. The theory gives the scaled domain size distribution which is in remarkable agreement with that of molecular dynamics.

Molecular dynamics of interacting kinks. I

A system consisting of a large number (up to 40 000) of kinks and antikinks moving under attractive interactions, which are annihilated on contacting each other, is studied using the method of molecular dynamics computer simulation. The average distance between neighboring kinks increases logarithmically in time after a short initial transient period. The size distribution function of domains between neighboring kinks is also computed and found to develop a characteristic cut-off structure. Interpretation of the results in terms of simple kinetic models is given. The results are compared with the recent neutron scattering experiments on layered antiferromagnets by Ikeda.

Domain size distribution in deformed ruthenium

An X-ray study of deformed ruthenium was performed. Fourier and integral-breadth analysis of line profiles indicated absence of lattice distortion and also stacking faults. The average domain sizes found by using the two methods were 652 and 926 Å respectively. The absence of distortion and faulting has been used to determine the domain size distribution function.

A Theory of X‐Ray Diffraction from an Ordered Alloy Containing Antiphase Domains

AbstractThe theory of X‐ray diffraction from an ordered alloy containing antiphase domains is developed by expressing the Fourier coefficients that represent the diffracted intensity in a powder pattern in terms of a domain size distribution function. The size distribution function is expressed in terms of the second derivative of the Fourier coefficients and, hence, can be determined from experimental measurements of the superlattice peak shape. A comparison of these results to those of previous treatments of this problem shows that valuable additional information about the domain size distribution is accessible by means of the procedures presented here.